(1 + 1/2) . (1 + 1/3) . (1 + 1/4) ... (1 + 1/100)
= 3/2 . 4/3 . 5/4 ... 101/100
= 101/2
3/2 . 4/3 . 5/4 . .... . 101/100
101/2
pạn rút gọn sẽ thấy đúng thôi
(1+1/2) . (1+1/3) . (1+1/4). ... (1+1/100)
=3/2 . 4/3 . 5/4 . ... . 101/100
=(3.4.5. ... .101)/(2.3.4. ... .100)
=101/2
\(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)....\left(1+\frac{1}{100}\right)\)
\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{101}{100}\)
\(=\frac{101}{2}\)